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arXiv · 1508.07277

Which quartic double solids are rational?

Ivan Cheltsov·Victor Przyjalkowski·Constantin Shramov
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Abstract

We study the rationality problem for nodal quartic double solids. In particular, we prove that nodal quartic double solids with at most six singular points are irrational, and nodal quartic double solids with at least eleven singular points are rational.

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Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov. 2015-08-28. Which quartic double solids are rational?. https://doi.org/10.1090/jag%2F730

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